Ricardo Diaz

most citedFourier transforms of polytopes, solid angle sums, and discrete volume

6 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2016★ 6 cited

Fourier transforms of polytopes, solid angle sums, and discrete volume

Ricardo Diaz, Quang-Nhat Le, Sinai Robins

Given a real closed polytope $P$ , we first describe the Fourier transform of its indicator function by using iterations of Stokes' theorem. We then use the ensuing Fourier transfor…

math.NT2002★ 1 cited

The Frobenius problem, rational polytopes, and Fourier-Dedekind Sums

Matthias Beck, Ricardo Diaz, Sinai Robins

We study the number of lattice points in integer dilates of the rational polytope $P = (x_{1}, ..., x_{n}) \in R_{\geq 0}^{n} : \sum_{k = 1}^{n} x_{k} a_{k} \leq 1$ , where $a_{1}, ..., a_{n}$ are posit…